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    Digital Image Processing详细资料

    名 称: Digital Image Processing
    编 号: 2007081615011903
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    Digital Image Processing

    Contents

    Preface xv

    Acknowledgements xviii

    About the Authors xix

    1 Introduction 15

    1.1 What Is Digital Image Processing? 15

    1.2 The Origins of Digital Image Processing 17

    1.3 Examples of Fields that Use Digital Image Processing 21

    1.3.1 Gamma-Ray Imaging 22

    1.3.2 X-ray Imaging 23

    1.3.3 Imaging in the Ultraviolet Band 25

    1.3.4 Imaging in the Visible and Infrared Bands 26

    1.3.5 Imaging in the Microwave Band 32

    1.3.6 Imaging in the Radio Band 34

    1.3.7 Examples in which Other Imaging Modalities Are Used 34

    1.4 Fundamental Steps in Digital Image Processing 39

    1.5 Components of an Image Processing System 42

    Summary 44

    References and Further Reading 45

    2 Digital Image Fundamentals 34

    2.1 Elements of Visual Perception 34

    2.1.1 Structure of the Human Eye 35

    2.1.2 Image Formation in the Eye 37

    2.1.3 Brightness Adaptation and Discrimination 38

    2.2 Light and the Electromagnetic Spectrum 42

    2.3 Image Sensing and Acquisition 45

    2.3.1 Image Acquisition Using a Single Sensor 47

    2.3.2 Image Acquisition Using Sensor Strips 48

    2.3.3 Image Acquisition Using Sensor Arrays 49

    2.3.4 A Simple Image Formation Model 50

    2.4 Image Sampling and Quantization 52

    2.4.1 Basic Concepts in Sampling and Quantization 52

    2.4.2 Representing Digital Images 54

    2.4.3 Spatial and Gray-Level Resolution 57

    2.4.4 Aliasing and Moiré Patterns 62

    2.4.5 Zooming and Shrinking Digital Images 64

    vii

    2.5 Some Basic Relationships Between Pixels 66

    2.5.1 Neighbors of a Pixel 66

    2.5.2 Adjacency, Connectivity, Regions, and Boundaries 66

    2.5.3 Distance Measures 68

    2.5.4 Image Operations on a Pixel Basis 69

    2.6 Linear and Nonlinear Operations 70

    Summary 70

    References and Further Reading 70

    Problems 71

    3 Image Enhancement in the Spatial Domain 75

    3.1 Background 76

    3.2 Some Basic Gray Level Transformations 78

    3.2.1 Image Negatives 78

    3.2.2 Log Transformations 79

    3.2.3 Power-Law Transformations 80

    3.2.4 Piecewise-Linear Transformation Functions 85

    3.3 Histogram Processing 88

    3.3.1 Histogram Equalization 91

    3.3.2 Histogram Matching (Specification) 94

    3.3.3 Local Enhancement 103

    3.3.4 Use of Histogram Statistics for Image Enhancement 103

    3.4 Enhancement Using Arithmetic/Logic Operations 108

    3.4.1 Image Subtraction 110

    3.4.2 Image Averaging 112

    3.5 Basics of Spatial Filtering 116

    3.6 Smoothing Spatial Filters 119

    3.6.1 Smoothing Linear Filters 119

    3.6.2 Order-Statistics Filters 123

    3.7 Sharpening Spatial Filters 125

    3.7.1 Foundation 125

    3.7.2 Use of Second Derivatives for Enhancement–

    The Laplacian 128

    3.7.3 Use of First Derivatives for Enhancement—The Gradient 134

    3.8 Combining Spatial Enhancement Methods 137

    Summary 141

    References and Further Reading 142

    Problems 142

    4 Image Enhancement in the Frequency

    Domain 147

    4.1 Background 148

    viii _ Contents

    4.2 Introduction to the Fourier Transform and the Frequency

    Domain 149

    4.2.1 The One-Dimensional Fourier Transform and its Inverse 150

    4.2.2 The Two-Dimensional DFT and Its Inverse 154

    4.2.3 Filtering in the Frequency Domain 156

    4.2.4 Correspondence between Filtering in the Spatial

    and Frequency Domains 161

    4.3 Smoothing Frequency-Domain Filters 167

    4.3.1 Ideal Lowpass Filters 167

    4.3.2 Butterworth Lowpass Filters 173

    4.3.3 Gaussian Lowpass Filters 175

    4.3.4 Additional Examples of Lowpass Filtering 178

    4.4 Sharpening Frequency Domain Filters 180

    4.4.1 Ideal Highpass Filters 182

    4.4.2 Butterworth Highpass Filters 183

    4.4.3 Gaussian Highpass Filters 184

    4.4.4 The Laplacian in the Frequency Domain 185

    4.4.5 Unsharp Masking, High-Boost Filtering,

    and High-Frequency Emphasis Filtering 187

    4.5 Homomorphic Filtering 191

    4.6 Implementation 194

    4.6.1 Some Additional Properties of the 2-D Fourier Transform 194

    4.6.2 Computing the Inverse Fourier Transform Using a Forward

    Transform Algorithm 198

    4.6.3 More on Periodicity: the Need for Padding 199

    4.6.4 The Convolution and Correlation Theorems 205

    4.6.5 Summary of Properties of the 2-D Fourier Transform 208

    4.6.6 The Fast Fourier Transform 208

    4.6.7 Some Comments on Filter Design 213

    Summary 214

    References 214

    Problems 215

    5 Image Restoration 220

    5.1 A Model of the Image Degradation/Restoration Process 221

    5.2 Noise Models 222

    5.2.1 Spatial and Frequency Properties of Noise 222

    5.2.2 Some Important Noise Probability Density Functions 222

    5.2.3 Periodic Noise 227

    5.2.4 Estimation of Noise Parameters 227

    5.3 Restoration in the Presence of Noise Only–Spatial Filtering 230

    5.3.1 Mean Filters 231

    5.3.2 Order-Statistics Filters 233

    5.3.3 Adaptive Filters 237

    _ Contents ix

    5.4 Periodic Noise Reduction by Frequency Domain Filtering 243

    5.4.1 Bandreject Filters 244

    5.4.2 Bandpass Filters 245

    5.4.3 Notch Filters 246

    5.4.4 Optimum Notch Filtering 248

    5.5 Linear, Position-Invariant Degradations 254

    5.6 Estimating the Degradation Function 256

    5.6.1 Estimation by Image Observation 256

    5.6.2 Estimation by Experimentation 257

    5.6.3 Estimation by Modeling 258

    5.7 Inverse Filtering 261

    5.8 Minimum Mean Square Error (Wiener) Filtering 262

    5.9 Constrained Least Squares Filtering 266

    5.10 Geometric Mean Filter 270

    5.11 Geometric Transformations 270

    5.11.1 Spatial Transformations 271

    5.11.2 Gray-Level Interpolation 272

    Summary 276

    References and Further Reading 277

    Problems 278

    6 Color Image Processing 282

    6.1 Color Fundamentals 283

    6.2 Color Models 289

    6.2.1 The RGB Color Model 290

    6.2.2 The CMY and CMYK Color Models 294

    6.2.3 The HSI Color Model 295

    6.3 Pseudocolor Image Processing 302

    6.3.1 Intensity Slicing 303

    6.3.2 Gray Level to Color Transformations 308

    6.4 Basics of Full-Color Image Processing 313

    6.5 Color Transformations 315

    6.5.1 Formulation 315

    6.5.2 Color Complements 318

    6.5.3 Color Slicing 320

    6.5.4 Tone and Color Corrections 322

    6.5.5 Histogram Processing 326

    6.6 Smoothing and Sharpening 327

    6.6.1 Color Image Smoothing 328

    6.6.2 Color Image Sharpening 330

    6.7 Color Segmentation 331

    6.7.1 Segmentation in HSI Color Space 331

    6.7.2 Segmentation in RGB Vector Space 333

    6.7.3 Color Edge Detection 335

    x _ Contents

    6.8 Noise in Color Images 339

    6.9 Color Image Compression 342

    Summary 343

    References and Further Reading 344

    Problems 344

    7 Wavelets and Multiresolution Processing 349

    7.1 Background 350

    7.1.1 Image Pyramids 351

    7.1.2 Subband Coding 354

    7.1.3 The Haar Transform 360

    7.2 Multiresolution Expansions 363

    7.2.1 Series Expansions 364

    7.2.2 Scaling Functions 365

    7.2.3 Wavelet Functions 369

    7.3 Wavelet Transforms in One Dimension 372

    7.3.1 The Wavelet Series Expansions 372

    7.3.2 The Discrete Wavelet Transform 375

    7.3.3 The Continuous Wavelet Transform 376

    7.4 The Fast Wavelet Transform 379

    7.5 Wavelet Transforms in Two Dimensions 386

    7.6 Wavelet Packets 394

    Summary 402

    References and Further Reading 404

    Problems 404

    8 Image Compression 409

    8.1 Fundamentals 411

    8.1.1 Coding Redundancy 412

    8.1.2 Interpixel Redundancy 414

    8.1.3 Psychovisual Redundancy 417

    8.1.4 Fidelity Criteria 419

    8.2 Image Compression Models 421

    8.2.1 The Source Encoder and Decoder 421

    8.2.2 The Channel Encoder and Decoder 423

    8.3 Elements of Information Theory 424

    8.3.1 Measuring Information 424

    8.3.2 The Information Channel 425

    8.3.3 Fundamental Coding Theorems 430

    8.3.4 Using Information Theory 437

    8.4 Error-Free Compression 440

    8.4.1 Variable-Length Coding 440

    _ Contents xi

    8.4.2 LZW Coding 446

    8.4.3 Bit-Plane Coding 448

    8.4.4 Lossless Predictive Coding 456

    8.5 Lossy Compression 459

    8.5.1 Lossy Predictive Coding 459

    8.5.2 Transform Coding 467

    8.5.3 Wavelet Coding 486

    8.6 Image Compression Standards 492

    8.6.1 Binary Image Compression Standards 493

    8.6.2 Continuous Tone Still Image Compression Standards 498

    8.6.3 Video Compression Standards 510

    Summary 513

    References and Further Reading 513

    Problems 514

    9 Morphological Image Processing 519

    9.1 Preliminaries 520

    9.1.1 Some Basic Concepts from Set Theory 520

    9.1.2 Logic Operations Involving Binary Images 522

    9.2 Dilation and Erosion 523

    9.2.1 Dilation 523

    9.2.2 Erosion 525

    9.3 Opening and Closing 528

    9.4 The Hit-or-Miss Transformation 532

    9.5 Some Basic Morphological Algorithms 534

    9.5.1 Boundary Extraction 534

    9.5.2 Region Filling 535

    9.5.3 Extraction of Connected Components 536

    9.5.4 Convex Hull 539

    9.5.5 Thinning 541

    9.5.6 Thickening 541

    9.5.7 Skeletons 543

    9.5.8 Pruning 545

    9.5.9 Summary of Morphological Operations on Binary Images 547

    9.6 Extensions to Gray-Scale Images 550

    9.6.1 Dilation 550

    9.6.2 Erosion 552

    9.6.3 Opening and Closing 554

    9.6.4 Some Applications of Gray-Scale Morphology 556

    Summary 560

    References and Further Reading 560

    Problems 560

    xii _ Contents

    10 Image Segmentation 567

    10.1 Detection of Discontinuities 568

    10.1.1 Point Detection 569

    10.1.2 Line Detection 570

    10.1.3 Edge Detection 572

    10.2 Edge Linking and Boundary Detection 585

    10.2.1 Local Processing 585

    10.2.2 Global Processing via the Hough Transform 587

    10.2.3 Global Processing via Graph-Theoretic Techniques 591

    10.3 Thresholding 595

    10.3.1 Foundation 595